Delocalized and Resonant Quantum Transport in Nonlinear Generalizations of the Kicked Rotor Model

Abstract

We analyze the effects of a nonlinear cubic perturbation on the delta-Kicked Rotor. We consider two different models, in which the nonlinear term acts either in the position or in the momentum representation. We numerically investigate the modifications induced by the nonlinearity in the quantum transport in both localized and resonant regimes and a comparison between the results for the two models is presented. Analyzing the momentum distributions and the increase of the mean square momentum, we find that the quantum resonances asymptotically are very stable with respect to the nonlinear perturbation of the rotor's phase evolution. For an intermittent time regime, the nonlinearity even enhances the resonant quantum transport, leading to superballistic motion.

8 pages, 10 figures; to appear in Phys. Rev. E

References in corpus (2)

• Quantum resonances and decoherence for delta-kicked atoms
• A classical scaling theory of quantum resonances

Cited by in corpus (5)

• Resonant nonlinear quantum transport for a periodically kicked Bose condensate
• Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor
• Second-order, number-conserving description of non-equilibrium dynamics in finite-temperature Bose-Einstein condensates
• Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
• The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor